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21922768553268 = 22311761292181581
BaseRepresentation
bin1001111110000010010101…
…10101010000010100110100
32212121210111102201100201210
410333001022311100110310
510333140312222201033
6114343103021121420
74421603433041142
oct477011265202464
985553442640653
1021922768553268
116a924373608a0
1225609429b9270
13c3040117cbab
1455b0d392c592
152803dc96bd63
hex13f04ad50534

21922768553268 has 48 divisors (see below), whose sum is σ = 55804169453760. Its totient is φ = 6643172889600.

The previous prime is 21922768553267. The next prime is 21922768553297. The reversal of 21922768553268 is 86235586722912.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 21922768553199 and 21922768553208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21922768553263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8958238 + ... + 11139818.

It is an arithmetic number, because the mean of its divisors is an integer number (1162586863620).

Almost surely, 221922768553268 is an apocalyptic number.

It is an amenable number.

21922768553268 is an abundant number, since it is smaller than the sum of its proper divisors (33881400900492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21922768553268 is a wasteful number, since it uses less digits than its factorization.

21922768553268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257728 (or 2257726 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 66.

The spelling of 21922768553268 in words is "twenty-one trillion, nine hundred twenty-two billion, seven hundred sixty-eight million, five hundred fifty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 76129 152258 228387 304516 456774 837419 913548 1674838 2181581 2512257 3349676 4363162 5024514 6544743 8726324 10049028 13089486 23997391 26178972 47994782 71992173 95989564 143984346 287968692 166081579949 332163159898 498244739847 664326319796 996489479694 1826897379439 1992978959388 3653794758878 5480692138317 7307589517756 10961384276634 21922768553268